Answer:
90 inches squared
Step-by-step explanation:
Formula for a rhombus is simply the diagonals over 2.
(The diagonals here are 12 and 15)
You could also do this intuitively. Because there is an inscribed right angle, each of the triangles inside are BH/2. Thus, the area of all four is 2BH. The base and height of each of the triangles is 6 and 7.5, so the area is 6 * 7.5 * 2.
The measure of angle A is 55°.
Solution:
Let us take B be the adjacent angle of 145°.
<em>Sum of the adjacent angles in a straight line = 180°</em>
⇒ m∠B + 145° = 180°
Subtract 145° from both sides.
⇒ m∠B + 145° - 145° = 180° - 145°
⇒ m∠B = 35°
The adjacent angle of 145° is 35°.
In the image, angle B and angle A equal to 90°.
⇒ m∠B + m∠A = 90°
⇒ 35° + m∠A = 90°
Subtract 35° from both sides.
⇒ m∠A = 55°
The measure of angle A is 55°.
<span>The answers are either:
x=<span>2+<span><span><span>√15</span><span> or </span></span>x</span></span></span>=<span>2−<span>√<span>15
Hope this helps!</span></span></span>
